\begin{table}[htbp]\centering
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Logarithm Fan table\label{log\_S}}
\begin{tabular}{l*{8}{c}}
\hline\hline
            &\multicolumn{1}{c}{(1)}&\multicolumn{1}{c}{(2)}&\multicolumn{1}{c}{(3)}&\multicolumn{1}{c}{(4)}&\multicolumn{1}{c}{(5)}&\multicolumn{1}{c}{(6)}&\multicolumn{1}{c}{(7)}&\multicolumn{1}{c}{(8)}\\
            &\multicolumn{1}{c}{log\_fe2\_S6}&\multicolumn{1}{c}{log\_fe2\_S2}&\multicolumn{1}{c}{log\_fe2\_S1}&\multicolumn{1}{c}{log\_fe2\_S3}&\multicolumn{1}{c}{log\_fe2\_S4}&\multicolumn{1}{c}{log\_fe2\_S5}&\multicolumn{1}{c}{log\_fe2\_S7}&\multicolumn{1}{c}{log\_fe2\_S8}\\
\hline
log\_L3\_sd   &       0.330\sym{***}&       0.368\sym{***}&       0.356\sym{***}&       0.367\sym{***}&       0.357\sym{***}&       0.374\sym{***}&       0.350\sym{***}&       0.326\sym{***}\\
            &     (0.064)         &     (0.063)         &     (0.064)         &     (0.062)         &     (0.065)         &     (0.065)         &     (0.061)         &     (0.058)         \\
log\_S6\_L3\_sd&       0.139\sym{***}&                     &                     &                     &                     &                     &                     &                     \\
            &     (0.043)         &                     &                     &                     &                     &                     &                     &                     \\
log\_S2\_L3\_sd&                     &      -0.021         &                     &                     &                     &                     &                     &                     \\
            &                     &     (0.034)         &                     &                     &                     &                     &                     &                     \\
log\_S1\_L3\_sd&                     &                     &       0.110\sym{*}  &                     &                     &                     &                     &                     \\
            &                     &                     &     (0.055)         &                     &                     &                     &                     &                     \\
log\_S3\_L3\_sd&                     &                     &                     &      -0.010         &                     &                     &                     &                     \\
            &                     &                     &                     &     (0.029)         &                     &                     &                     &                     \\
log\_S4\_L3\_sd&                     &                     &                     &                     &       0.134\sym{**} &                     &                     &                     \\
            &                     &                     &                     &                     &     (0.050)         &                     &                     &                     \\
log\_S5\_L3\_sd&                     &                     &                     &                     &                     &      -0.065         &                     &                     \\
            &                     &                     &                     &                     &                     &     (0.058)         &                     &                     \\
log\_S7\_L3\_sd&                     &                     &                     &                     &                     &                     &       0.110\sym{**} &                     \\
            &                     &                     &                     &                     &                     &                     &     (0.047)         &                     \\
log\_S8\_L3\_sd&                     &                     &                     &                     &                     &                     &                     &       0.237\sym{***}\\
            &                     &                     &                     &                     &                     &                     &                     &     (0.075)         \\
\hline
r2          &       0.890         &       0.885         &       0.886         &       0.885         &       0.889         &       0.886         &       0.887         &       0.891         \\
\hline\hline
\multicolumn{9}{l}{\footnotesize Standard errors in parentheses}\\
\multicolumn{9}{l}{\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<.05\), \sym{***} \(p<.01\)}\\
\end{tabular}
\end{table}
